Enhancing Quantum Entanglement Through Parametric Control of Atom-Cavity States

Dicke states form a class of entangled states that has attracted much attention for their applications in various quantum algorithms. They emerge as eigenstates of the Tavis-Cummings (TC) Hamiltonian, a simplification of the Dicke model, which describes an assembly of two-level atoms trapped in an electromagnetic cavity. In this letter, it is showed that in the regime where the field energy is large with respect to the atomic energy splitting, precise control of the ground state can be implemented. Specifically, pure Dicke states can be selected and produced by appropriate tuning of the parameters. This result may have important applications in quantum engineering and quantum information theory.